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QUESTION 3 [8 marks] Two forces P and Q act on a particle at point O. The angle between the lines of action of P and Q is 120° as shown in the figure. The force P has magnitude 40 Newtons and the force Q (acting along the x-axis) has magnitude X Newtons. The resultant of P and Q is the force R. Given that the magnitude of the resultant R is 7.5X Newtons, find the value of X, giving your answer to 3 significant figures. P 120° 3 Q

Fig: 1